Constructing quantum games from non-factorizable probabilities
نویسندگان
چکیده
A probabilistic framework is developed in which one can analyze both the classical and the quantum games. We suggest exploiting peculiar probabilities involved in the Einstein-Podolsky-Rosen (EPR) experiments to construct quantum games. In our framework a game attains classical interpretation when probabilities are factorizable and a quantum game corresponds when probabilities cannot be factorized. We analyze how non-factorizability changes Nash equilibria in two-player games while considering the games of Prisoner’s Dilemma, Stag Hunt, and Chicken. For Prisoner’s Dilemma we find that even non-factorizable EPR probabilities cannot be helpful to escape from the classical outcome of the game. For a particular version of the Chicken game, we find that the two sets of probabilities, that maximally violates the Clauser-Holt-Shimony-Horne (CHSH) sum of correlations, non-factorizability indeed results in new Nash equilibria. However, for Stag Hunt the same sets are excluded by requiring that factorizable probabilities lead to the classical game.
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A probabilistic framework is developed that gives a unifying perspective on both the classical and quantum versions of two-player games. We suggest exploiting peculiar joint probabilities involved in Einstein-Podolsky-Rosen (EPR) experiments to construct a quantum game when the corresponding classical game is obtained from factorizable joint probabilities. We analyze how nonfactorizability chan...
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